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Finding the Fourth Proportional to 30,478.62, 45,676.41 and 14,682.51

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Solution

The fourth proportional to 30,478.62, 45,676.41 and 14,682.51 is: 22,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.62 : 45,676.41 = 14,682.51 : x
  2. Step 2: Convert to fraction form
    30,478.62/45,676.41 = 14,682.51/x
  3. Step 3: Cross multiply
    30,478.62x = 45,676.41 × 14,682.51
  4. Step 4: Simplify right side
    30,478.62x = 670,644,346.59
  5. Step 5: Solve for x
    x = 670,644,346.59/30,478.62
  6. Step 6: Final answer
    x = 22,003.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.